h-x'+2x=10e³ where x(0)=6

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A: I am attaching image so that you understand each and every step.

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.

Q: 4. x = 3 + 4 sine, y = 3cos0 - 4

A: Given: x=3+4sinθ, y=3cosθ-4 dxdθ=ddθ3+4sinθ = 4cosθ dydθ=ddθ3cosθ-4 = -3sinθ

Q: The rate of depreciation of a building is given by D'(t) = 2000(10 - t) dollars per year, 0 ≤ t ≤…

A: solution:-(a) according to the given graph the total depreciation of the building over fitst 5 years…

Q: 1³ csc x - sinx 5 sin x -dx

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Q: Q2: A company plans to update its equipment so that its trucks are replaced after ten years from…

A: To find out the amount that company needs to pay each year.

Q: The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) TL O (26/3) T O (1372/9) O (248/9) m 6 and x = = 2y

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Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

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Q: dx Consider ·S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z.

A: Given

Q: At noon, ship A is 170 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

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Q: Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA.…

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Q: 1 The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) T O (26/3) T (1372/9) π O (248/9) T

A:

Q: A certain tank of depth 10 ft is a surface of revolution formed by rotating y = x² about its axis.…

A: Work done= mgh

Q: y = 3sinh (3t) 3 s² +9 9 S² +9 O A) C) O B) D) 3 $²9 9 s² - 9

A:

Q: 6. Evaluate * d'y day dx5 + dx4 y = (C₁+C₂ + С3) ex +С4е²x +C5e-³x - 6 d³ y = 0 dx³ y = C₁+C₂x +…

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Q: If the product of two positive numbers is 300, Minimize the sum of the second number and thrice of…

A: To find out the numbers.

Q: ind a value c that verifies the conclusion of the Mean Value Theorem for the function f(x) = x² on…

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Q: Given the function f(x, y, z) = x ln(1 - z) + and simplify your answers. a) fa b) fxz sin(x - 1) 2y…

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Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: Consider the following. u = 2i + 8k, v = 7i + 3k (a) Find the projection of u onto v. (b) Find the…

A: This question is related to vectors, we will solve it using given information.

Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

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Q: Evaluate the given limit of the following: lim_[Vx2 + x - Vx2 + 4] X+00 Ya

A: Given;  Limx-infinity [sqrt(x2+x) - sqrt(x2+4)]

Q: (4) Draw the missing figure on the sequence below and provide solution/explanation: 4

A:

Q: Evaluate the following double integral over the given region R. [[ 2 ln(x + 1) (x + 1)y Use…

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Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: The given function,  f(x)=4xe-9x

Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y the curve and draw the tangent line…

A: First derivate with respect to t then derivate with respect to x to get desired result

Q: 0 00 00 Consider the function f: (-2, 2)→ R defined by Mex X 6t D = S(x) = [₁ = [₁₁125²4d² - dt -…

A:

Q: S₁² S (x+y)dx

A: the simple way integration ,frist integration with respect to x

Q: 1 f²2² ²¹ (x+y+z)dxdzdy 0 0

A: This question can be solved using the concept of evaluating triple integrals.

Q: 3. A function g(x) is a probability density function function g(x) = -&- 5z 5e is a probability…

A:

Q: 4ex. Given: v dx 2 Applying rationalizing substitution, find dx in terms of z. 2 z dz A z²+2 (2z+z)…

A:

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e";…

A: Solution is here

Q: (D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients

A:

Q: find dy/dx : y =3√tan3xx2

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Q: The value of the definite integral fm12 √ex - 9 dx is in the form F(b) – F(a), where a In 9 and b…

A: We have to solve given Questions.

Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

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Q: 2. dy axta¹ x-In√x²t)

A:

Q: Determine the derivative of the follow of paper, assuming that it is differen 5. x+y³ = 2c(xy4)

A: x+y^3=2c(x y^4) differnetiatiate with respect to x

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Use volume of solid of revolution formula for finding the volume

Q: A street light is at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

A:

Q: Find the maximum value of f(x,y) = 12-x² - y² on the line x + 2y = 5. The maximum value of f(x,y) =…

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Q: a + bx² 3ax + bx³ - dx

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Q: Find and classify all critical points of the function f(x, y) = x+2y-In(x¹3³)

A: Given :f(x,y)=x+2y4-lnx4y8

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Topic:-  application of integration

Q: Write the parametric equations in the given Cartesian form. X = x = 2t - t³, y = 9 - 2t

A: To convert the parametric equation to Cartesian equation.

Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: dx dx.

A: